Abstract
We consider a
We consider a
K. S. de Smidt-Destombes, M. C. van der Heijden, and A. van Harten, “On the availability of a -out-of- system given limited spares and repair capacity under a condition based maintenance strategy,” Reliability Engineering and System Safety, vol. 83, no. 3, pp. 287–300, 2004.
View at: Publisher Site | Google ScholarK. S. de Smidt-Destombes, M. C. van der Heijden, and A. van Harten, “On the interaction between maintenance, spare part inventories and repair capacity for a -out-of- system with wear-out,” European Journal of Operational Research, vol. 174, no. 1, pp. 182–200, 2006.
View at: Publisher Site | Google ScholarD. P. Gaver, P. A. Jacobs, and G. Latouche, “Finite birth-and-death models in randomly changing environments,” Advances in Applied Probability, vol. 16, no. 4, pp. 715–731, 1984.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetA. Graham, Kronecker Products and Matrix Calculus: With Applications, Ellis Horwood, Chichester, 1981.
View at: Google Scholar | Zentralblatt MATH | MathSciNetW. Kuo and M. J. Zuo, Optimal Reliability Modeling - Principles and Applications, John Wiley & Sons, New York, 2003.
View at: Google ScholarG. Latouche and V. Ramaswami, Introduction to Matrix Analytic Methods in Stochastic Modeling, ASA-SIAM Series on Statistics and Applied Probability, SIAM, Pennsylvania; American Statistical Association, Virginia, 1999.
View at: Google Scholar | Zentralblatt MATH | MathSciNetM. F. Neuts, Matrix-Geometric Solutions in Stochastic Models. An Algorithmic Approach, Dover, New York, 1994, (originally published by John Hopkins University Press in 1981).
View at: Google Scholar | MathSciNetE. Seneta, Non-Negative Matrices and Markov Chains, Springer, New York, 1981.
View at: Google Scholar | Zentralblatt MATHW. J. Stewart, Introduction to the Numerical Solution of Markov Chains, Princeton University Press, New Jersey, 1994.
View at: Google Scholar | Zentralblatt MATH | MathSciNet